463038641856 has 448 divisors, whose sum is σ = 1691771673600. Its totient is φ = 121147342848.

The previous prime is 463038641719. The next prime is 463038641869. The reversal of 463038641856 is 658146830364.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7577955 + ... + 7638813.

Almost surely, 2^463038641856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463038641856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845885836800).

463038641856 is an abundant number, since it is smaller than the sum of its proper divisors (1228733031744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

463038641856 is a wasteful number, since it uses less digits than its factorization.

463038641856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60941 (or 60925 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 463038641856 in words is "four hundred sixty-three billion, thirty-eight million, six hundred forty-one thousand, eight hundred fifty-six".